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Finding the Third Proportional to 44,412 and 57,620

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Solution

The third proportional to 44,412 and 57,620 is: 74,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,412 : 57,620 = 57,620 : x
  2. Step 2: Convert to fraction form
    44,412/57,620 = 57,620/x
  3. Step 3: Cross multiply
    44,412x = 57,620 × 57,620
  4. Step 4: Simplify right side
    44,412x = 3,320,064,400
  5. Step 5: Solve for x
    x = 3,320,064,400/44,412
  6. Step 6: Final answer
    x = 74,756.02

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.